Solve the following equations and check your results.
$ 3 m=5 m-\frac{8}{5} $.

AcademicMathematicsNCERTClass 8

Given:

\( 3 m=5 m-\frac{8}{5} \)

To do:
 We have to solve the given equation and check the result.

Solution:

$3 m=5 m-\frac{8}{5}$

$5m-3m=\frac{8}{5}$

$2m=\frac{8}{5}$

$m=\frac{8}{2\times5}$

$m=\frac{8}{10}$

$m=\frac{4}{5}$

Substituting the value of $m$ in LHS, we get,

$3m=3(\frac{4}{5})$

$=\frac{3\times4}{5}$

$=\frac{12}{5}$

Substituting the value of $m$ in RHS, we get,

$5m-\frac{8}{5}=5(\frac{4}{5})-\frac{8}{5}$

$=\frac{20-8}{5}$

$=\frac{12}{5}$

LHS $=$ RHS

The value of $m$ is $\frac{4}{5}$.     

raja
Updated on 10-Oct-2022 13:47:38

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